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10072020 = 2235723981
BaseRepresentation
bin100110011010…
…111111010100
3200221201012210
4212122333110
510034301040
6555513420
7151416330
oct46327724
920851183
1010072020
11575a292
123458870
13211859a
1414a27c0
15d3e480
hex99afd4

10072020 has 48 divisors (see below), whose sum is σ = 32231808. Its totient is φ = 2302080.

The previous prime is 10072009. The next prime is 10072031. The reversal of 10072020 is 2027001.

It is an interprime number because it is at equal distance from previous prime (10072009) and next prime (10072031).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10071987 and 10072005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11571 + ... + 12410.

It is an arithmetic number, because the mean of its divisors is an integer number (671496).

Almost surely, 210072020 is an apocalyptic number.

10072020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10072020 is an abundant number, since it is smaller than the sum of its proper divisors (22159788).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10072020 is a wasteful number, since it uses less digits than its factorization.

10072020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24000 (or 23998 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 10072020 is about 3173.6445925781. The cubic root of 10072020 is about 215.9594402581.

Adding to 10072020 its reverse (2027001), we get a palindrome (12099021).

The spelling of 10072020 in words is "ten million, seventy-two thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 23981 47962 71943 95924 119905 143886 167867 239810 287772 335734 359715 479620 503601 671468 719430 839335 1007202 1438860 1678670 2014404 2518005 3357340 5036010 10072020